Use the graph of the function to find its domain and range. Write the domain and range in interval notation.

The amount of blood that the human heart circulates every year is represented by the following compound inequality: 770,000 < x < 1,600,000, where x is in gallons of blood.

Herein we must determine the compound inequality, that is, a simultaneous inequality of the form a < x < b, where a and b are the limits of the inequality. According to the statement, the human heart circulates every year at least 770,000 gallons of blood and at most 1,600,000 gallons of blood. Then, the compound inequality that represents the situation is:

770,000 < x < 1,600,000, where x is in gallons of blood.

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The fractions 25/150, 28/154, or 27/62 aren't equivalent.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In order to know if they're equivalent fractions, we can convert them to percentage. This will be:

25/150 × 100 = 16.7%

28/154 × 100 = 18.2%

27/62 × 100 = 43.5%

In this case they're not equivalent.

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By means of trigonometric functions and trigonometric formulas, the trigonometric equation sec α · (1 - cos² 2α) is equivalent to 4 · cos α - 4 · cos³ α.

In this problem we find the case of a trigonometric equation that must be simplified by definitions of trigonometric functions and trigonometric formulas. First, write the trigonometric equation:

sec α · (1 - cos² 2α)

Second, use the fundamental trigonometric formula:

sec α · sin² 2α

Third, use the definition of secant and the formula for the sine of the double angle:

(1 / cos α) · (2 · sin α · cos α)²

4 · sin² α · cos α

Fourth, use the fundamental trigonometric formula:

4 · (1 - cos² α) · cos α

4 · cos α - 4 · cos³ α

None of the options given are equivalent to the trigonometric equation.

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Answer:

Step-by-step explanation:

Used  (0,0) and (-2,4)

(4-0)/(-2-0)= m

m= 4/-2 = -2

Answer:6/39=2/13

Step-by-step explanation:the spell check need 2/13 like 1.5sec to check one words

Answer:

22

Step-by-step explanation:

Answer: 27 pizzas

Step-by-step explanation:

Total ounces available = 4 jars x 24.44 ounces/jar = 97.76 ounces

(97.76 ounces) x (1 pizza/3.5 ounces) = 27.93 pizzas

You can make 27 whole pizzas (the 28th pizza will be short on the sauce)

If larry and Donna bought a sofa at the sale price of $1,344. The original price of the sofa was $1,920. Then the discount rate is 30%.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

larry and Donna bought a sofa at the sale price of $1,344.

original price of the sofa was $1,920

We need to find the original rate

1920-1344/1920

576/1920

0.3

Now we have to multiply with 100 as it it hundredth part

0.3×100

30

Hence, the discount rate of sofa is 30%.

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The profit that Vaughn would make if he charges $3.80 per bag is $27.20.

The first step is to determine the total pieces of candy that Vaughn plans to sell.

Total pieces of candy = number of pieces in each bag x total number of bags

Total pieces of candy = 24 x 15 = 360

The second step is to determine the total number of bags he has to buy.

Number of bags he is going to buy = total pieces of candy he is going to sell / number of pieces in each bag

Number of bags he is going to buy = 360 / 18 = 20 bags

The third step is to determine the total cost of buying 20 bags

Total cost = number of bags he is going to buy x cost per bag

Total cost = 20 x $3.20

Total cost = $64

The next step is to determine the total revenue from making 24 bags.

Total revenue = price per bag x total number of bags

Total revenue = $3.80 x 24

Total revenue = $91.20

Profit = revenue - cost

$91.20 - $64 = $27.20

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Answer: 20

Step-by-step explanation:

Use 1 as the denominator to convert any number to a fraction:

24/1

The fraction 5/6 and our new fraction, 24/1, are now side by side, and we can multiply those two fractions to find the answer now that we have converted 24 into a fraction.

Multiply the numerators and denominators after converting the entire number to a fraction.

5*24/6*1 = 120/6

In this instance, it is possible to further simplify our new fraction. To do that, we must determine the two numbers' highest common factor.

So. GCF is 6.

We can now divide both the new numerator and the denominator by 6 to simplify this fraction down to its lowest terms.

120/6 = 20.

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Answer:

Step-by-step explanation:

what is the 5/6 of 24?

we can solve by multiplying 5/6 by 24

5/6 × 24 =

20

Answer:

C. 6x + 15

Step-by-step explanation:

1. Distribute

3(2x + 5)

6x + 15

(We get this answer by multiplying the number outside the parentheses, which is 3, by the numbers in the parentheses. As in, 3 x 2x = 6x. And 3 x 5 = 15. So, we get 6x + 15).

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Answer:

(0, 1) and (-3, -2)

Step-by-step explanation:

The solutions are the points of intersection of the two graphs.

We can read the points off the graph.

Answer: (0, 1) and (-3, -2)

There 1540 teams  can be formed.

A combination is a combination of n things taken k at a time without repetition.

Given that, A company has 11 male and 8 female employees, and needs to nominate 2 men and 2 women for the company bowling team.

The formula for a combination of choosing r unique ways from n possibilities is:

nCr  = n!/r!(n - r)!

2 men out of 11 men = 11C2 = 11!/2!(11-2)! = 55

2 women out of 8 men = 8C2 = 8!/2!(8-2)! = 28

Number of teams = 55*28 = 1540

Hence, There 1540 teams  can be formed.

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The probability that exactly 2 of the brussel-spout-with-turnip-chips cookies is picked at random is 0.05 approximately to two decimal place.

To calculate the probability of an event, we identify an event of the required outcome result and the total number of results or possible outcomes that can occur, and thus divide the number of required outcomes by the total number of possible outcomes.

The total possible outcomes = 20

probability of picking a chocolate-chip cookies = 13/20

probability of picking brussel-spout-with-turnip-chips cookies = 7/20

probability of getting exactly 2 brussel-spout-with-turnip-chips cookies when 4 cookies are picked at random considering the they are not replaced after each pick is calculated as follows;

(13/20) × (13/20) × (7/20) × (7/20)

8281/160000

0.0518.

Hence, from our calculations by simplification the probability of getting exactly 2 brussel-spout-with-turnip-chips cookies when 4 cookies are picked at random is 0.05 approximately to two decimal place.

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Answer:

a=9+b−c

Step-by-step explanation:

Answer is he run with 11m/s.

Answer: 1.3 centimeters

Step-by-step explanation:

.013 x 100 = 1.3

Answer:

It's 32.

Step-by-step explanation:

Multiply 16 x 2 = 32.

I hope this helps.

Answer:

[tex]x = wy - wz[/tex]

Step-by-step explanation:

this equation looks like this

[tex]w = \frac{x}{y - z}[/tex]

to solve for x you can multiply both sides by y - z

this would cancel out the y - z on the bottom

this would make it

[tex]w(y - z) = x[/tex]

now you must distribute and switch the x to the other side

[tex]wy - wz = x[/tex]

[tex]x = wy - wz[/tex]

Answer:

(0,7)

Step-by-step explanation:

Answer:

45º

Step-by-step explanation:

The value of 375 grams of a 12% solution is 45 grams.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Based on the information given, it should be noted that in order to calculate the value of the grams, we simply need to multiply the value of the percentage that's is given by the number of grams that's given.

In this case, the value of the gram will be:

= Percentage given × Total grams

= 12% × 375 grams

= 0.12 × 375 grams

= 45 grams.

Therefore, the value will simply be 45 grams.

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Answer:

45

Step-by-step explanation:

375*0.12=45

Answer:

Mikhail is 49 years old.

Step-by-step explanation:

39+49=88

Answer:

42 is an integer

92.96 is not an integer

-529.79 is not an integer

-12/4 is an integer

-19/15 is not an integer

Answer:

3 and 9

Step-by-step explanation:

The factors of 45 are 1, 3, 5, 9, 15, 4.

3x9=45

3+9=14

Answer: The correct integer is 2.

Step-by-step explanation:

4s − 14 = −6

4(2) − 14 = −6

8 - 14 = -6

-6 = -6    .np it was tough but here! brainliest pls ?

Answer: -7

Step-by-step explanation:

7 ÷ (-9 - -8)³

(-9 - -8)³ = -1

7 ÷ -1 = -7

Answer:

-7

Step-by-step explanation:

We have to solve this according to the B O D M A S theorem.

That is:

B ⇒ Brackets

O ⇒ Of

D ⇒ Division

M ⇒ Multiplication

A ⇒ Addition

S ⇒ Subtraction

Also, we know that,

( + ) × ( + )  = ( + )

( - ) × ( - ) = ( + )

( + ) × ( - ) = ( - )

Let us solve it now.

7 ÷ ( - 9 - ( - 8 ) )³

7 ÷ ( - 9 + 8 )³

7 ÷ ( - 1 )³

7 ÷ ( - 1 )

- 7

Answer:

[tex]\frac{7}{24}[/tex] x + 16

Step-by-step explanation:

[tex]\frac{5}{8}[/tex] x + [tex]\frac{2}{3}[/tex] ( - [tex]\frac{1}{2}[/tex] x + 24) ← distribute parenthesis

= [tex]\frac{5}{8}[/tex] x - [tex]\frac{1}{3}[/tex] x + 16 ( express fractions with common denominator 24 )

= [tex]\frac{15}{24}[/tex] x - [tex]\frac{8}{24}[/tex] x + 16

= [tex]\frac{7}{24}[/tex] x + 16

Answer:

n = 44

Step-by-step explanation:

the 'dashes ' through the 2 legs of the triangle indicate they are congruent.

then n = 44 mm